Information on Result #622355

Linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using extended algebraic-geometric code AGe(F,8P) based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(16112, 120, F16, 79) (dual of [120, 8, 80]-code) [i]Repeating Each Code Word
2Linear OA(16108, 115, F16, 79) (dual of [115, 7, 80]-code) [i]
3Linear OA(16104, 110, F16, 79) (dual of [110, 6, 80]-code) [i]
4Linear OA(16126, 132, F16, 95) (dual of [132, 6, 96]-code) [i]
5Linear OA(16100, 105, F16, 79) (dual of [105, 5, 80]-code) [i]
6Linear OA(16121, 126, F16, 95) (dual of [126, 5, 96]-code) [i]
7Linear OA(16104, 4120, F16, 31) (dual of [4120, 4016, 32]-code) [i](u, u+v)-Construction
8Linear OA(16101, 4120, F16, 30) (dual of [4120, 4019, 31]-code) [i]
9Linear OA(1681, 89, F16, 67) (dual of [89, 8, 68]-code) [i]Juxtaposition
10Linear OA(1681, 88, F16, 68) (dual of [88, 7, 69]-code) [i]
11Linear OA(1680, 86, F16, 69) (dual of [86, 6, 70]-code) [i]
12Linear OA(1680, 85, F16, 70) (dual of [85, 5, 71]-code) [i]
13Linear OA(1680, 84, F16, 71) (dual of [84, 4, 72]-code) [i]
14Linear OA(2160, 192, F2, 63) (dual of [192, 32, 64]-code) [i]Concatenation of Two Codes
15Linear OA(2156, 184, F2, 63) (dual of [184, 28, 64]-code) [i]
16Linear OA(2152, 176, F2, 63) (dual of [176, 24, 64]-code) [i]
17Linear OA(2148, 168, F2, 63) (dual of [168, 20, 64]-code) [i]
18Linear OA(456, 72, F4, 31) (dual of [72, 16, 32]-code) [i]
19Linear OA(455, 69, F4, 31) (dual of [69, 14, 32]-code) [i]
20Linear OA(454, 66, F4, 31) (dual of [66, 12, 32]-code) [i]
21Linear OA(480, 96, F4, 47) (dual of [96, 16, 48]-code) [i]
22Linear OA(478, 92, F4, 47) (dual of [92, 14, 48]-code) [i]
23Linear OA(476, 88, F4, 47) (dual of [88, 12, 48]-code) [i]
24Linear OA(474, 84, F4, 47) (dual of [84, 10, 48]-code) [i]
25Linear OA(472, 80, F4, 47) (dual of [80, 8, 48]-code) [i]
26Linear OA(4104, 120, F4, 63) (dual of [120, 16, 64]-code) [i]
27Linear OA(4101, 115, F4, 63) (dual of [115, 14, 64]-code) [i]
28Linear OA(498, 110, F4, 63) (dual of [110, 12, 64]-code) [i]
29Linear OA(495, 105, F4, 63) (dual of [105, 10, 64]-code) [i]
30Linear OA(492, 100, F4, 63) (dual of [100, 8, 64]-code) [i]
31Linear OOA(2112, 72, F2, 2, 47) (dual of [(72, 2), 32, 48]-NRT-code) [i]Concatenation of Two NRT-Codes
32Linear OOA(2110, 69, F2, 2, 47) (dual of [(69, 2), 28, 48]-NRT-code) [i]
33Linear OOA(2208, 120, F2, 2, 95) (dual of [(120, 2), 32, 96]-NRT-code) [i]
34Linear OOA(2202, 115, F2, 2, 95) (dual of [(115, 2), 28, 96]-NRT-code) [i]
35Linear OOA(2196, 110, F2, 2, 95) (dual of [(110, 2), 24, 96]-NRT-code) [i]
36Linear OOA(2190, 105, F2, 2, 95) (dual of [(105, 2), 20, 96]-NRT-code) [i]
37Linear OOA(2184, 100, F2, 2, 95) (dual of [(100, 2), 16, 96]-NRT-code) [i]
38Linear OOA(4128, 72, F4, 2, 79) (dual of [(72, 2), 16, 80]-NRT-code) [i]
39Linear OOA(4124, 69, F4, 2, 79) (dual of [(69, 2), 14, 80]-NRT-code) [i]
40Linear OOA(4164, 88, F4, 2, 111) (dual of [(88, 2), 12, 112]-NRT-code) [i]
41Linear OOA(4158, 84, F4, 2, 111) (dual of [(84, 2), 10, 112]-NRT-code) [i]
42Linear OOA(4152, 80, F4, 2, 111) (dual of [(80, 2), 8, 112]-NRT-code) [i]
43Linear OOA(4208, 110, F4, 2, 143) (dual of [(110, 2), 12, 144]-NRT-code) [i]
44Linear OOA(4200, 105, F4, 2, 143) (dual of [(105, 2), 10, 144]-NRT-code) [i]
45Linear OOA(4192, 100, F4, 2, 143) (dual of [(100, 2), 8, 144]-NRT-code) [i]
46Linear OOA(2112, 48, F2, 3, 47) (dual of [(48, 3), 32, 48]-NRT-code) [i]
47Linear OOA(2110, 46, F2, 3, 47) (dual of [(46, 3), 28, 48]-NRT-code) [i]
48Linear OOA(2184, 72, F2, 3, 95) (dual of [(72, 3), 32, 96]-NRT-code) [i]
49Linear OOA(2179, 69, F2, 3, 95) (dual of [(69, 3), 28, 96]-NRT-code) [i]
50Linear OOA(2174, 66, F2, 3, 95) (dual of [(66, 3), 24, 96]-NRT-code) [i]
51Linear OOA(2169, 63, F2, 3, 95) (dual of [(63, 3), 20, 96]-NRT-code) [i]
52Linear OOA(2164, 60, F2, 3, 95) (dual of [(60, 3), 16, 96]-NRT-code) [i]
53Linear OOA(2256, 72, F2, 4, 143) (dual of [(72, 4), 32, 144]-NRT-code) [i]
54Linear OOA(2248, 69, F2, 4, 143) (dual of [(69, 4), 28, 144]-NRT-code) [i]
55Linear OOA(2240, 66, F2, 4, 143) (dual of [(66, 4), 24, 144]-NRT-code) [i]
56Linear OOA(2232, 63, F2, 4, 143) (dual of [(63, 4), 20, 144]-NRT-code) [i]
57Linear OOA(2224, 60, F2, 4, 143) (dual of [(60, 4), 16, 144]-NRT-code) [i]